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math.PR2026
The gene's-eye view of quantitative genetics
Philibert Courau, Amaury Lambert, Emmanuel Schertzer
Modelling the evolution of a continuous trait in a biological population is one of the oldest problems in evolutionary biology, which led to the birth of quantitative genetics. Wit…
math.PR2026
Structured coalescents, coagulation equations and multi-type branching processes
Fernando Cordero, Sophia-Marie Mellis, Emmanuel Schertzer
Consider a structured population consisting of colonies, with migration rates proportional to a positive parameter . We sample individuals, distributed evenly across t…
math.PR2026
Moments of density-dependent branching processes and their genealogy
Mathilde André, Félix Foutel-Rodier, Emmanuel Schertzer
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can…